Find the 4th term of the sequend.

Question

a₁ = 2 and a_n = -4a_n-1 + 2

Answer 1

So we know that the first term is going to be 2, from the given info a₁ = 2

The formula gives us the next term in the sequence, in the pattern

(Next term) = -4(current term) + 2

since the 4th term is a small one, its easy to trace this out by hand

a_1 = 2

a_2 = -4(2)+2 = -6

a_3 = -4(-6)+2 = 26

a_4 = -4(26)+2 = -102

a_4 = -102